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@article{195896,
        author = {Ritam Chatterjee},
        title = {A Nonlocal Symmetrization Flow on Closed Curves},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {11},
        pages = {1549-1551},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=195896},
        abstract = {We introduce a nonlocal evolution equation on smooth closed curves in R3 based on pairing arc-length antipodal points. The induced flow is linear and generates a strongly continuous semigroup. We prove global existence, uniqueness, and exponential convergence to a symmetric configuration. An associated energy functional is shown to decay monotonically along the flow.
MSC (2020): Primary 47D06; Secondary 35B40.},
        keywords = {},
        month = {April},
        }